C.3.8—Two-source interference
- Syllabus
- First assessment 2025
- Objective
- —
- Level
- SL
Set up two-source interference
Two coherent sources emit waves with the same frequency and a constant phase difference. At each observation point, compare the two source-to-point distances to find the path difference.
Map bright and dark regions
For in-phase sources, path difference nλ gives constructive interference and a bright or high-amplitude region. Path difference (n+21)λ gives destructive interference and a dark or low-amplitude region.
Read the pattern
Points equidistant from the two sources have zero path difference and form a central constructive line. Further maxima and minima occur where the path difference changes by half-wavelength steps.
Common trap
Do not use source-to-source separation as the path difference. It is the difference between the two travel distances to the same observation point.
Questions ask for a possible wavelength from a sound minimum or ask you to explain a bright/dark screen pattern. The evidence rewards identifying the phase at arrival and applying the correct half- or whole-wavelength condition.
What is / Explain
Find the two source-to-point distances and subtract them to obtain path difference. For in-phase coherent sources, use nλ for constructive interference and (n + 1/2)λ for destructive interference; explain the observed bright/dark pattern.
Using the path length to one source instead of subtracting the two paths, or assigning a bright fringe to a half-integer path difference.
Representative question
Two loudspeakers are driven in phase and emit sound of the same frequency. A minimum intensity of sound is detected at point P.
P is 4.0 m from one loudspeaker and 4.6 m from the other.
What is a possible wavelength of the sound?
20 cm
30 cm
40 cm
60 cm
C